Kinetic energy and the Born-Green-Yvon method for fermion quantum fluids

Charles E Campbell; K. E. Kürten; E. Krotscheck

doi:10.1103/PhysRevB.25.1633

Kinetic energy and the Born-Green-Yvon method for fermion quantum fluids

Charles E Campbell, K. E. Kürten, E. Krotscheck

Physics and Astronomy (Twin Cities)

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

The Born-Green-Yvon (BGY) equations for two-body distribution functions of fermion-Jastrow many-body trial functions are derived using a diagrammatic method. Also derived are the Jackson-Feenberg and Pandharipande-Bethe expressions for the kinetic energy of this function in terms of partial two- and three-body distribution functions. Simple approximations for these three-body functions are then used in the BGY equations and the kinetic energies and are solved for the ground state of liquid He3.

Original language	English (US)
Pages (from-to)	1633-1654
Number of pages	22
Journal	Physical Review B
Volume	25
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevB.25.1633
State	Published - Jan 1 1982

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AB - The Born-Green-Yvon (BGY) equations for two-body distribution functions of fermion-Jastrow many-body trial functions are derived using a diagrammatic method. Also derived are the Jackson-Feenberg and Pandharipande-Bethe expressions for the kinetic energy of this function in terms of partial two- and three-body distribution functions. Simple approximations for these three-body functions are then used in the BGY equations and the kinetic energies and are solved for the ground state of liquid He3.

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Kinetic energy and the Born-Green-Yvon method for fermion quantum fluids

Abstract

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